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charle [14.2K]
3 years ago
7

(-4k⁴+14+3k²)+(3k⁴-14k²-8) write answer in standard form

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0
Dont click the link the bot sent you they can hack you
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Y is directly related to x and y is 81 when x is 27 the constant of.variation is
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Answer:

The constant of variation is 3

Step-by-step explanation:

Given.

y=81

x=27

And y is directly related to x

y ∝ x

Here k is constant of variation

y=kx

k=\frac{y}{x}--------------(1)

Put the y and x value in equation 1.

k=\frac{81}{27}

k=3

So, the constant of variation is 3.

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Points A(-2, 4), B(1, 3), C(4, -1) and D form a parallelogram. What are the coordinates of D?
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Let point A(-2,4)  = A (X1,Y1)
      point B( 1,3  )= B (X2,Y2)
      point C(4,-1)  = C (X3,Y3)
and point D(?, ?) = D (X4,Y4)  We have to find this point

To find X4 we have to use the formula:
X2-X1=X3-X4

Now just plug in the numbers that correspond to the letters provided:
(1)-(-2)=(4)-(X4) ----> we don't know what X4 is yet, so we have to solve for it!
1+2=4-X4
3=4-X4
3-4=-X4
-1=-X4  divide both sides by -1
X4=1

Now we have to find Y4 using this formula:
Y2-Y1=Y3-Y4

Therefore,
(3)-(4)=(-1)-(Y4)
-1=-1-Y4
-1+1=-Y4
0=-Y4
So,
Y4=0


Now we have found the coordinates of the point D, which is (1,0)

Hope this helped!
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Step-by-step explanation:

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